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On Copulas and Differential Inclusions

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Synergies of Soft Computing and Statistics for Intelligent Data Analysis

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 190))

Abstract

We construct a class of differential inclusions such that their solutions are horizontal sections of copulas. Furthermore we show that the horizontal sections of any copula can be obtained in such a way.

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References

  1. Brezis, H.: Functional analysis, Sobolev spaces and partial differential equations. Springer, New York (2011)

    MATH  Google Scholar 

  2. Durante, F., Jaworski, P.: A new characterization of bivariate copulas. Comm. Stat. Theory Methods 39, 2901–2912 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  3. Durante, F., Jaworski, P.: Spatial contagion between financial markets: a copula-based approach. Applied Stochastic Models in Business and Industry 26, 551–564 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  4. Durante, F., Jaworski, P.: Invariant dependence structure under univariate truncation. Statistics 46, 263–277 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  5. Jaworski, P.: Invariant dependence structure under univariate truncation: the high-dimensional case. Statistics (2012), doi:10.1080/02331888.2012.664143

    Google Scholar 

  6. Jaworski, P., Durante, F., Härdle, W., Rychlik, T. (eds.): Copula Theory and Its Applications, Proc. of the Workshop held in Warsaw, Poland, September 25-26. Lecture Notes in Statistics, vol. 198. Springer (2010)

    Google Scholar 

  7. Joe, H.: Multivariate models and dependence concepts. Monographs on Statistics and Applied Probability, vol. 73. Chapman & Hall, London (1997)

    MATH  Google Scholar 

  8. Łojasiewicz, S.: An introduction to the theory of real functions, 3rd edn. John Wiley & Sons, Ltd., Chichester (1988)

    MATH  Google Scholar 

  9. Mesiar, R., Jágr, V., Juráňová, M., Komorníková, M.: Univariate conditioning of copulas. Kybernetika 44, 807–816 (2008)

    MathSciNet  MATH  Google Scholar 

  10. Nelsen, R.B.: An introduction to copulas, 2nd edn. Springer Series in Statistics. Springer, New York (2006)

    MATH  Google Scholar 

  11. Smirnov, G.V.: Introductory to the Theory of Differential Inclusions. American Mathematical Society, Providence (2002)

    Google Scholar 

  12. Ursell, H.D.: Some methods of proving measurability. Fund. Math. 32, 311–330 (1939)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Institute of Mathematics, University of Warsaw, 02-097, Warszawa, Poland

    Piotr Jaworski

Authors
  1. Piotr Jaworski
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Corresponding author

Correspondence to Piotr Jaworski .

Editor information

Editors and Affiliations

  1. Faculty of Computer Science, Otto-von-Guericke University of Magdebur, Geb. 29, Raum 008, Universitätsplatz 2, Magdeburg, 39106, Germany

    Rudolf Kruse

  2. , FB Informatik & Informationswissenschaft, University of Konstanz, Konstanz, 78457, Germany

    Michael R. Berthold

  3. of Magdeburg, Faculty of Computer Science, Otto-von-Guericke University, Geb. 29, Universitätsplatz 2 008, Magdeburg, 39106, Germany

    Christian Moewes

  4. , Department of Statistics and OR, University of Oviedo, C/ Calvo Sotelo, s/n, Oviedo, 33007, Spain

    María Ángeles Gil

  5. Systems Research Institute, Polish Academy of Sciences, Newelska 6, Warsaw, 01-447, Poland

    Przemysław Grzegorzewski

  6. Systems Research Institute, Polish Academy of Sciences, Newelska 6, Warsaw, 01-447, Poland

    Olgierd Hryniewicz

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Jaworski, P. (2013). On Copulas and Differential Inclusions. In: Kruse, R., Berthold, M., Moewes, C., Gil, M., Grzegorzewski, P., Hryniewicz, O. (eds) Synergies of Soft Computing and Statistics for Intelligent Data Analysis. Advances in Intelligent Systems and Computing, vol 190. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33042-1_35

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  • DOI: https://doi.org/10.1007/978-3-642-33042-1_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33041-4

  • Online ISBN: 978-3-642-33042-1

  • eBook Packages: EngineeringEngineering (R0)

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